Leon Brenig - Publications

Affiliations: 
Physics and Mathematics Free University of Brussels, Bruxelles, Bruxelles, Belgium 
Area:
Mathematics

56 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2018 Brenig L. Reducing nonlinear dynamical systems to canonical forms. Philosophical Transactions. Series a, Mathematical, Physical, and Engineering Sciences. 376. PMID 29891502 DOI: 10.1098/Rsta.2017.0384  0.381
2018 Brenig L, Gleria I, Filho TTMR, Figueiredo A, Hernandez-Bermejo B. Equivalence between nonlinear dynamical systems and urn processes Journal of Physics A. 51: 485101. DOI: 10.1088/1751-8121/Aae770  0.35
2017 Gleria I, Brenig L, Rocha Filho TM, Figueiredo A. Permanence and boundedness of solutions of quasi-polynomial systems Physics Letters A. 381: 2149-2152. DOI: 10.1016/J.Physleta.2017.05.005  0.387
2017 Gleria I, Brenig L, Rocha Filho TM, Figueiredo A. Stability properties of nonlinear dynamical systems and evolutionary stable states Physics Letters A. 381: 954-957. DOI: 10.1016/J.Physleta.2017.01.029  0.313
2017 Gleria I, Brenig L, Rocha Filho TM, Figueiredo A. Stability Properties of Quasi-polynomial Systems: Convergence of Solutions and Structure of ω-Limit Sets Brazilian Journal of Physics. 47: 436-440. DOI: 10.1007/S13538-017-0504-1  0.313
2007 Brenig L. Is quantum mechanics based on an invariance principle? Journal of Physics a: Mathematical and Theoretical. 40: 4567-4584. DOI: 10.1088/1751-8113/40/17/012  0.403
2007 Lambiotte R, Ausloos M, Brenig L, Salazar J. Energy and number of collision fluctuations in inelastic gases Physica a: Statistical Mechanics and Its Applications. 375: 227-232. DOI: 10.1016/J.Physa.2006.08.032  0.601
2006 Lambiotte R, Brenig L, Salazar J. On high-energy tails in inelastic gases Physica a: Statistical Mechanics and Its Applications. 366: 250-254. DOI: 10.1016/J.Physa.2005.10.037  0.585
2006 Hernández-Bermejo B, Brenig L. Some global results on quasipolynomial discrete systems Nonlinear Analysis: Real World Applications. 7: 486-496. DOI: 10.1016/J.Nonrwa.2005.03.018  0.346
2005 Lambiotte R, Brenig L. Energy nonequipartition in multicomponent granular mixtures. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 72: 042301. PMID 16383446 DOI: 10.1103/Physreve.72.042301  0.573
2005 Lambiotte R, Brenig L. Truncated Lévy distributions in an inelastic gas Physics Letters A. 345: 309-313. DOI: 10.1016/J.Physleta.2005.07.030  0.598
2005 Lambiotte R, Salazar J, Brenig L. From particle segregation to the granular clock Physics Letters A. 343: 224-230. DOI: 10.1016/J.Physleta.2005.06.006  0.577
2005 Filho TMR, Gléria IM, Figueiredo A, Brenig L. The Lotka–Volterra canonical format Ecological Modelling. 183: 95-106. DOI: 10.1016/J.Ecolmodel.2004.07.023  0.402
2003 ABRAMO LR, BRENIG L, GUNZIG E, SAA A. A NOTE ON DUALITIES IN EINSTEIN'S GRAVITY IN THE PRESENCE OF A NON-MINIMALLY COUPLED SCALAR FIELD Modern Physics Letters A. 18: 1043-1051. DOI: 10.1142/S0217732303010958  0.34
2003 Brenig L, Figueiredo A, Gunzig E, Filho TMR, Saa A. International Journal of Theoretical Physics. 42: 1153-1161. DOI: 10.1023/A:1025794129310  0.381
2003 Abramo LRW, Brenig L, Gunzig E, Saa A. Dynamical Study of the Singularities of Gravity in the Presence of Nonminimally Coupled Scalar Fields International Journal of Theoretical Physics. 42: 1145-1152. DOI: 10.1023/A:1025742112471  0.367
2002 Abramo LR, Brenig L, Gunzig E. Conformal Coupling'S Outrageous Legacy International Journal of Modern Physics D. 11: 1531-1536. DOI: 10.1142/S0218271802002840  0.324
2002 Hern$aacute$ndez-Bermejo B, Brenig L. Quasipolynomial generalization of Lotka$ndash$Volterra mappings Journal of Physics a: Mathematical and General. 35: 5453-5469. DOI: 10.1088/0305-4470/35/26/308  0.324
2002 Figueiredo A, Filho TMR, Gunzig E, Brenig L, Saa A. Superinflation and quintessence in the presence of an extra field International Journal of Theoretical Physics. 41: 2037-2046. DOI: 10.1023/A:1021168607240  0.337
2001 Gunzig E, Saa A, Brenig L, Faraoni V, Rocha Filho TM, Figueiredo A. Superinflation, quintessence, and nonsingular cosmologies Physical Review D. 63. DOI: 10.1103/Physrevd.63.067301  0.335
2001 Saa A, Gunzig E, Brenig L, Faraoni V, Filho TMR, Figueiredo A. Superinflation, quintessence, and the avoidance of the initial singularity International Journal of Theoretical Physics. 40: 2295-2307. DOI: 10.1023/A:1012942422179  0.336
2001 Córdoba-Torres P, Nogueira R, de Miranda L, Brenig L, Wallenborn J, Fairén V. Cellular automaton simulation of a simple corrosion mechanism: mesoscopic heterogeneity versus macroscopic homogeneity Electrochimica Acta. 46: 2975-2989. DOI: 10.1016/S0013-4686(01)00524-2  0.318
2000 Gunzig E, Brenig L, Figueiredo A, Filho TMR. A no-chaos theorem for non-minimally coupled scalar field cosmology and a new cosmogenesis scenario Modern Physics Letters A. 15: 1363-1368. DOI: 10.1142/S0217732300001961  0.369
2000 Gunzig E, Faraoni V, Figueiredo A, Filho TMR, Brenig L. The dynamical system approach to scalar field cosmology Classical and Quantum Gravity. 17: 1783-1814. DOI: 10.1088/0264-9381/17/8/304  0.442
2000 Gunzig E, Faraoni V, Figueiredo A, Filho TMR, Brenig L. International Journal of Theoretical Physics. 39: 1901-1932. DOI: 10.1023/A:1003654017547  0.418
2000 Filho TMR, Figueiredo A, Brenig L, Gunzig E, Faraoni V. International Journal of Theoretical Physics. 39: 1933-1961. DOI: 10.1023/A:1003606101618  0.398
1999 Moreau Y, Louiès S, Vandewalle J, Brenig L. Embedding recurrent neural networks into predator-prey models. Neural Networks : the Official Journal of the International Neural Network Society. 12: 237-245. PMID 12662700 DOI: 10.1016/S0893-6080(98)00120-8  0.373
1999 Salazar JM, Brenig L. Inelastic granular gas: Computer simulations and kinetic theory of the cooling state Physical Review E. 59: 2093-2104. DOI: 10.1103/Physreve.59.2093  0.407
1999 Louies S, Brenig L. Structure of normal form series for non-analytical vector fields and generalized resonances Journal of Physics a: Mathematical and General. 32: 3959-3978. DOI: 10.1088/0305-4470/32/21/309  0.341
1999 Figueiredo A, Filho T, Brenig L. Necessary conditions for the existence of quasi-polynomial invariants: the quasi-polynomial and Lotka–Volterra systems Physica a: Statistical Mechanics and Its Applications. 262: 158-180. DOI: 10.1016/S0378-4371(98)00396-3  0.351
1999 Rocha Filho TM, Figueiredo A, Brenig L. [QPSI] A maple package for the determination of quasi-polynomial symmetries and invariants Computer Physics Communications. 117: 263-272. DOI: 10.1016/S0010-4655(98)00186-6  0.376
1998 Hernández-Bermejo B, Fairén V, Brenig L. Algebraic recasting of nonlinear systems of ODEs into universal formats Journal of Physics a: Mathematical and General. 31: 2415-2430. DOI: 10.1088/0305-4470/31/10/016  0.331
1998 Figueiredo A, Rocha Filho TM, Brenig L. Algebraic structures and invariant manifolds of differential systems Journal of Mathematical Physics. 39: 2929-2946. DOI: 10.1063/1.532429  0.415
1998 BRENIG L, SALAZAR JM. Exact results for the homogeneous cooling state of an inelastic hard-sphere gas Journal of Plasma Physics. 59: 639-646. DOI: 10.1017/S0022377898006709  0.367
1997 Louies S, Brenig L. Structure and convergence of Poincaré-like normal forms Physics Letters A. 233: 184-192. DOI: 10.1016/S0375-9601(97)00469-6  0.367
1990 Goriely A, Brenig L. Algebraic degeneracy and partial integrability for systems of ordinary differential equations Physics Letters A. 145: 245-249. DOI: 10.1016/0375-9601(90)90358-U  0.412
1989 Carati D, Brenig L. Renormalization-group method for anisotropic turbulent transport Physical Review A. 40: 5193-5198. PMID 9902783 DOI: 10.1103/Physreva.40.5193  0.395
1989 Brenig L, Goriely A. Universal canonical forms for time-continuous dynamical systems Physical Review A. 40: 4119-4122. DOI: 10.1103/Physreva.40.4119  0.39
1988 Brenig L. Complete factorisation and analytic solutions of generalized Lotka-Volterra equations Physics Letters A. 133: 378-382. DOI: 10.1016/0375-9601(88)90920-6  0.419
1983 Banai N, Brenig L. A non-linear stochastic differential equation: Exact critical statics and dynamics Physica a: Statistical Mechanics and Its Applications. 119: 512-526. DOI: 10.1016/0378-4371(83)90106-1  0.443
1982 Brenig L, Banai N. Non-linear dynamics of systems coupled with external noise: Some exact results Physica D: Nonlinear Phenomena. 5: 208-226. DOI: 10.1016/0167-2789(82)90018-5  0.385
1981 Brenig L, Fairén V. Analytical approach to initial‐value problems in nonlinear systems Journal of Mathematical Physics. 22: 649-652. DOI: 10.1063/1.524970  0.359
1980 Brenig L, Van den Broeck C. Stochastic hydrodynamic theory for one-component systems Physical Review A. 21: 1039-1048. DOI: 10.1103/Physreva.21.1039  0.451
1979 Brenig L, Van den Broeck C. Stochastic theory of hydrodynamic systems Physics Letters A. 71: 395-398. DOI: 10.1016/0375-9601(79)90617-0  0.443
1979 Van den Broeck C, Brenig L. Fluctuating kinetic equation for a two-component Boltzmann gas Physics Letters A. 73: 298-302. DOI: 10.1016/0375-9601(79)90539-5  0.432
1977 Malek-Mansour M, Brenig L, Horsthemke W. A stochastic approach to the kinetic theory of gases Physica a: Statistical Mechanics and Its Applications. 88: 407-424. DOI: 10.1016/0378-4371(77)90118-2  0.673
1977 Brenig L, Horsthemke W, Malek-Mansour M. A stochastic master equation representation of statistical mechanics Physics Letters A. 60: 273-274. DOI: 10.1016/0375-9601(77)90095-0  0.637
1977 Horsthemke W, Malek-Mansour M, Brenig L. Mean-field theory of critical behaviour and first order transition: A comparison between the Master Equation and the nonlinear Fokker-Planck equation European Physical Journal B. 28: 135-139. DOI: 10.1007/Bf01325452  0.657
1977 Horsthemke W, Brenig L. Non-linear Fokker-Planck equation as an asymptotic representation of the master equation Zeitschrift F�R Physik B: Condensed Matter and Quanta. 27: 341-348. DOI: 10.1007/Bf01320526  0.666
1976 Brenig L, Malek-Mansour M, Horsthemke W. A stochastic approach to hydrodynamics Physics Letters A. 59: 341-342. DOI: 10.1016/0375-9601(76)90401-1  0.594
1975 Balescu R, Paiva-Veretennicoff I, Brenig L. Kinetic theory of the plasma-dynamical modes and the transport coefficients of a relativistic plasma Physica a: Statistical Mechanics and Its Applications. 81: 17-46. DOI: 10.1016/0378-4371(75)90035-7  0.719
1975 Balescu R, Brenig L, Paiva-Veretennicoff I. On the relativistic plasma-dynamical and hydrodynamical normal modes Physica a: Statistical Mechanics and Its Applications. 81: 1-16. DOI: 10.1016/0378-4371(75)90034-5  0.695
1974 Balescu R, Brenig L, Paiva-Veretennicoff I. Relativistic plasma-dynamical equations and plasma-dynamical normal modes Physica. 74: 447-465. DOI: 10.1016/0031-8914(74)90354-1  0.726
1973 Balescu R, Paiva-Veretennicoff I, Brenig L. Kinetic equation of a relativistic plasma in the weak coupling approximation Bulletin De La Classe Des Sciences. 59: 812-841. DOI: 10.3406/BARB.1973.60776  0.323
1971 Balescu R, Brenig L. Relativistic covariance of non-equilibrium statistical mechanics Physica. 54: 504-521. DOI: 10.1016/0031-8914(71)90086-3  0.699
1971 Balescu R, Brenig L, Wallenborn J. Subdynamics of constrained many-body systems and the theory of transport coefficients Physica. 52: 29-44. DOI: 10.1016/0031-8914(71)90035-8  0.685
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